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Finding the Fourth Proportional to 1,267.08, 1,900.72 and 487.46

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Solution

The fourth proportional to 1,267.08, 1,900.72 and 487.46 is: 731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.08 : 1,900.72 = 487.46 : x
  2. Step 2: Convert to fraction form
    1,267.08/1,900.72 = 487.46/x
  3. Step 3: Cross multiply
    1,267.08x = 1,900.72 × 487.46
  4. Step 4: Simplify right side
    1,267.08x = 926,524.97
  5. Step 5: Solve for x
    x = 926,524.97/1,267.08
  6. Step 6: Final answer
    x = 731.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.